1000074120 has 128 divisors (see below), whose sum is σ = 3168547200. Its totient is φ = 251817984.

The previous prime is 1000074059. The next prime is 1000074169. The reversal of 1000074120 is 214700001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000074120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986734 + ... + 987746.

It is an arithmetic number, because the mean of its divisors is an integer number (24754275).

Almost surely, 2^1000074120 is an apocalyptic number.

1000074120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000074120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584273600).

1000074120 is an abundant number, since it is smaller than the sum of its proper divisors (2168473080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000074120 is a wasteful number, since it uses less digits than its factorization.

1000074120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1000074120 is about 31623.9485200694. The cubic root of 1000074120 is about 1000.0247060563.

Adding to 1000074120 its reverse (214700001), we get a palindrome (1214774121).

The spelling of 1000074120 in words is "one billion, seventy-four thousand, one hundred twenty".